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A mass 2 kg is whirled in a horizontal c...

A mass 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 revolutions per minute . Keeping the radius constant the tension in the string is doubled. The new speed is nearly

A

10 rpm

B

7 rpm

C

14 rpm

D

2.5rpm

Text Solution

Verified by Experts

The correct Answer is:
B
`T=m r omega ^(2)= mr 4pi ^(2) n^(2)`
` therefore (T_2)/(T_1)=(2)/(1)= (n_(2)^(2))/(n_(1)^(2)) " " therefore n_(2)= sqrt(2) n_(1) = 7`
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